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Simplifying -8(5 + 2v) + 5(8v + -6) = 4v + 3 + v + 3 (5 * -8 + 2v * -8) + 5(8v + -6) = 4v + 3 + v + 3 (-40 + -16v) + 5(8v + -6) = 4v + 3 + v + 3 Reorder the terms: -40 + -16v + 5(-6 + 8v) = 4v + 3 + v + 3 -40 + -16v + (-6 * 5 + 8v * 5) = 4v + 3 + v + 3 -40 + -16v + (-30 + 40v) = 4v + 3 + v + 3 Reorder the terms: -40 + -30 + -16v + 40v = 4v + 3 + v + 3 Combine like terms: -40 + -30 = -70 -70 + -16v + 40v = 4v + 3 + v + 3 Combine like terms: -16v + 40v = 24v -70 + 24v = 4v + 3 + v + 3 Reorder the terms: -70 + 24v = 3 + 3 + 4v + v Combine like terms: 3 + 3 = 6 -70 + 24v = 6 + 4v + v Combine like terms: 4v + v = 5v -70 + 24v = 6 + 5v Solving -70 + 24v = 6 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -70 + 24v + -5v = 6 + 5v + -5v Combine like terms: 24v + -5v = 19v -70 + 19v = 6 + 5v + -5v Combine like terms: 5v + -5v = 0 -70 + 19v = 6 + 0 -70 + 19v = 6 Add '70' to each side of the equation. -70 + 70 + 19v = 6 + 70 Combine like terms: -70 + 70 = 0 0 + 19v = 6 + 70 19v = 6 + 70 Combine like terms: 6 + 70 = 76 19v = 76 Divide each side by '19'. v = 4 Simplifying v = 4
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